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Cours Algèbre 1 SMPC 1 FSR ch2: Rappels et compléments sur les nombres réels et complexes

exosup

3 déc., 2014

chapitre 2
Rappels et compléments

sur les nombres réels et complexes

Université Mohammed V - Agdal

Faculté des Sciences

Département de Mathématiques et Informatique

Avenue Ibn Batouta, B.P. 1014

Rabat, Maroc

.:: Module Mathématiques I : Algèbre ::.

Filière :

Sciences de Matière Physique (SMP)

et

Sciences de Matière Chimie(SMC)

Chapitre II: Rappels et compléments sur les nombres réels et

complexes.

Par

Prof: Jilali Mikram

Groupe d’Analyse Numérique et Optimisation

http://www.fsr.ac.ma/ANO/

Email : mikram@fsr.ac.ma

Année : 2005-2006
smpc s1

TABLE DES MATIERES

1 Les nombres réels

1.1 Loi de composition interne

1.2 Les irrationnels

1.3 L’ordre dans IR

1.4 Partie entière d’un nombre réel x : E(x)

1.5 Les intervalles ouverts et fermés dans IR

1.6 Les intervalles dans IR

1.7 Minorant, majorant

1.8 Borne supérieure

1.9 Borne inférieure

1.10 L’axiome de la borne supérieure

2 Les nombres complexes

2.1 Lois de composition interne de IR2

2.2 Parties réelle et imaginaire d’un nombre complexe

2.3 Formule du binˆome de Newton

2.4 Conjugué et module d’un nombre complexe

2.5 Inégalité triangulaire

2.6 Argument d’un nombre complexe

2.7 Représentation graphique des nombres complexes

2.8 La formule de De Moivre

2.9 Le théorème de d’Alembert - Gauss

2.10 Racines nièmes de l’unité

2.11 Racines d’une équation du second degré

2.12 Introduction à l’exponentielle complexe

2.13 Application au calcul trigonométrique

Chapitre II Rappels et compléments sur les nombres réels et complexes

Télécharger

Nom du fichier : chap2 Rappels et compléments sur les nombres réels et complexes.pdf

Taille du fichier : 201 KB

Nombre de pages : 22

Date de publication : 03/12/2014

id=123

hulkload ou lien direct ou google drive ou yadisk

Voir aussi:

ch I Opérations logiques élementaires. Ensembles. Quantificateurs. Relations binaires et Applications

Chapitre III: Polynômes sur R et C Chapitre IV: Fractions rationnelles

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